117/8 to a mixed number
How to write 117/8 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [8]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/8 to a mixed number
In order to convert our improper fraction 117/8 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [8] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 8 = 14.63 = 14
(Quotient of 14 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [14] and multiplying it by the original denominator [8]. And then subtract the result from the original numerator [117]:
117 - (14 × 8)
=117 - 112 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [8], and then put the whole number [14] before it
That's it! We have successfully converted the improper fraction 117/8 to the mixed number 14 5/8.
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/8 | 14 5/8 |
118/8 | 14 3/4 |
119/8 | 14 7/8 |
120/8 | 15 |
121/8 | 15 1/8 |
122/8 | 15 1/4 |
123/8 | 15 3/8 |
124/8 | 15 1/2 |
125/8 | 15 5/8 |
126/8 | 15 3/4 |
127/8 | 15 7/8 |
128/8 | 16 |
129/8 | 16 1/8 |
130/8 | 16 1/4 |
131/8 | 16 3/8 |
132/8 | 16 1/2 |
133/8 | 16 5/8 |
134/8 | 16 3/4 |
135/8 | 16 7/8 |
136/8 | 17 |
137/8 | 17 1/8 |
138/8 | 17 1/4 |
139/8 | 17 3/8 |
140/8 | 17 1/2 |
141/8 | 17 5/8 |
142/8 | 17 3/4 |
143/8 | 17 7/8 |
144/8 | 18 |
145/8 | 18 1/8 |
146/8 | 18 1/4 |